1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna [14]
3 years ago
13

A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are ask

ed whether or not they are happy with their majors. Assume that none of these 250 students is majoring in both areas. There are a total of 100 majoring in psychology and only 80 of those majoring in psychology are happy while 35 students majoring in communication are unhappy.
If one student is selected at random from this group, find the probability that this student is:________
i. happy with the choice of major
ii. a psychology major
iii. a communication major given that the student is happy with the choice of major
iv. unhappy with the choice of major given that
Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So number of students majoring in psychology  those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

    $=\frac{80+115}{250}$

    = 0.78

b). Psychology major $=\frac{80+20}{250}$

                                   = 0.4

c). Probability of the students who are happy with the communication as the choice of major = $\frac{115}{250}$ = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = $\frac{20}{250}$  =  0.018

You might be interested in
Emerson has an associate degree. Based on the bar chart below, how will his employment opportunities change from 2008-2018?
ANEK [815]

Answer:

19% change

Step-by-step explanation:

Since, Emerson has an associate degree,

His employment is 19% changed in 10 years, i.e. from 2008 to 2018.

Because the bar graph shown the percentage of change in employment from 2008 to 2018.

Also, Employment of associate degree is most affected in 10 years.

And those who have job training and work experience is least affected in these 10 years.

5 0
3 years ago
Write 1/4 as a decimal.
n200080 [17]

Answer:

0.25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Triangle congruence and similarity! (picture included)
skelet666 [1.2K]

Answer:

yes; SAS (Side Angle Side)

Step-by-step explanation:

if you divide all sides by three they come out as the same numbers as the left triangle and they are both the same type of triangle

8 0
2 years ago
Can you guys help me out on this? I'm still learning sign, cosign, and tangent :)
Yakvenalex [24]

Answer:

\sin d = \frac{4}{7} ; \sin e = \frac{\sqrt{33} }{7}

\cos d = \frac{\sqrt{33} }{7} ; \cos e = \frac{4}{7}

\tan d = \frac{4}{\sqrt{33} } ; \tan e = \frac{\sqrt{33} }{4}

Step-by-step explanation:

For a right angled triangle with one of its angle α (alpha) :-

  • \sin \alpha = \frac{Side \: opposite \: to \: \alpha }{Hypotenuse \: of \: the \: triangle}
  • \cos \alpha  = \frac{Side \: adjacent \: to \: \alpha }{Hypotenuse \: of \: the \: triangle}
  • \tan \alpha  = \frac{Side \: opposite \: to \: \alpha }{Side \: adjacent \: to \: \alpha }

__________________________________________________

According to the question ,

1) When α (alpha) = d

  • \sin d = \frac{4}{7}
  • \cos d = \frac{\sqrt{33} }{7}
  • \tan d = \frac{4}{\sqrt{33} }

2) When α (alpha) = e

  • \sin e = \frac{\sqrt{33} }{7}
  • \cos e = \frac{4}{7}
  • \tan e = \frac{\sqrt{33} }{4}

3 0
3 years ago
Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles. Which explains why Bernard added 5 negative x-tiles to both sides
densk [106]
A) He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side
7 0
3 years ago
Read 2 more answers
Other questions:
  • At a financial conference, the 750 attendees were given the choice of turkey, ham, both, or neither on the sandwich in their sac
    15·2 answers
  • Mei bought a box of markers for b dollars, a shoulder bag that cost twice as much as the box of markers and a pen that cost $6 l
    8·1 answer
  • Select the correct answer from each drop-down menu,<br> and i =<br> fx=(10-31 and y=(3-10 then =
    5·2 answers
  • In desperate need of help, please help. PLEASE. If possible send work, so I could figure out how to do it.! -Jo:)
    15·1 answer
  • What is 54386 + 5697 togther?
    9·2 answers
  • 1. In a basket, there are white and red balls. What is the smallest number of balls you need to take out of the basket so that t
    13·1 answer
  • Find the radian measure of the angle 55°​
    10·1 answer
  • Please help me with these 3 questions!​
    15·1 answer
  • A company pays $20 per hour for up to 7 hours of work, and $30 per hour for
    7·1 answer
  • In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to b
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!